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1222243440 = 2435112331987
BaseRepresentation
bin100100011011001…
…1111010001110000
310011011212101210120
41020312133101300
510000343242230
6321140530240
742200616645
oct11066372160
93134771716
101222243440
11577a19650
122a13b0980
131662b1a92
14b847ddcc
1572481310
hex48d9f470

1222243440 has 160 divisors (see below), whose sum is σ = 4153234176. Its totient is φ = 294881280.

The previous prime is 1222243439. The next prime is 1222243471. The reversal of 1222243440 is 443422221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1222243440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 614127 + ... + 616113.

Almost surely, 21222243440 is an apocalyptic number.

1222243440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1222243440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2076617088).

1222243440 is an abundant number, since it is smaller than the sum of its proper divisors (2930990736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1222243440 is a wasteful number, since it uses less digits than its factorization.

1222243440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2247 (or 2241 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 1222243440 is about 34960.5983930481. The cubic root of 1222243440 is about 1069.1842969401.

Adding to 1222243440 its reverse (443422221), we get a palindrome (1665665661).

The spelling of 1222243440 in words is "one billion, two hundred twenty-two million, two hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 233 240 264 330 440 466 528 660 699 880 932 1165 1320 1398 1864 1987 2330 2563 2640 2796 3495 3728 3974 4660 5126 5592 5961 6990 7689 7948 9320 9935 10252 11184 11922 12815 13980 15378 15896 18640 19870 20504 21857 23844 25630 27960 29805 30756 31792 38445 39740 41008 43714 47688 51260 55920 59610 61512 65571 76890 79480 87428 95376 102520 109285 119220 123024 131142 153780 158960 174856 205040 218570 238440 262284 307560 327855 349712 437140 462971 476880 524568 615120 655710 874280 925942 1049136 1311420 1388913 1748560 1851884 2314855 2622840 2777826 3703768 4629710 5092681 5245680 5555652 6944565 7407536 9259420 10185362 11111304 13889130 15278043 18518840 20370724 22222608 25463405 27778260 30556086 37037680 40741448 50926810 55556520 61112172 76390215 81482896 101853620 111113040 122224344 152780430 203707240 244448688 305560860 407414480 611121720 1222243440